11L 10s

↖ 10L 9s	↑ 11L 9s	12L 9s ↗
← 10L 10s	11L 10s	12L 10s →
↙ 10L 11s	↓ 11L 11s	12L 11s ↘

┌╥╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║│║│║│║│║│║││ │││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLsLsLsLsLsLsLsLsLs sLsLsLsLsLsLsLsLsLsLL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	19\21 to 10\11 (1085.7¢ to 1090.9¢)
Dark	1\11 to 2\21 (109.1¢ to 114.3¢)
TAMNAMS information
Descends from	1L 9s (antisinatonic)
Ancestor's step ratio range	3:2 to 2:1 (hyposoft)
Related MOS scales
Parent	10L 1s
Sister	10L 11s
Daughters	21L 11s, 11L 21s
Neutralized	1L 20s
2-Flought	32L 10s, 11L 31s
Equal tunings
Equalized (L:s = 1:1)	19\21 (1085.7¢)
Supersoft (L:s = 4:3)	67\74 (1086.5¢)
Soft (L:s = 3:2)	48\53 (1086.8¢)
Semisoft (L:s = 5:3)	77\85 (1087.1¢)
Basic (L:s = 2:1)	29\32 (1087.5¢)
Semihard (L:s = 5:2)	68\75 (1088.0¢)
Hard (L:s = 3:1)	39\43 (1088.4¢)
Superhard (L:s = 4:1)	49\54 (1088.9¢)
Collapsed (L:s = 1:0)	10\11 (1090.9¢)

11L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 10 small steps, repeating every octave. 11L 10s is a grandchild scale of 1L 9s, expanding it by 11 tones. Generators that produce this scale range from 1085.7¢ to 1090.9¢, or from 109.1¢ to 114.3¢.

Intervals

Intervals of 11L 10s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0¢ to 57.1¢
	Major 1-mosstep	M1ms	L	57.1¢ to 109.1¢
2-mosstep	Perfect 2-mosstep	P2ms	L + s	109.1¢ to 114.3¢
	Augmented 2-mosstep	A2ms	2L	114.3¢ to 218.2¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	109.1¢ to 171.4¢
	Major 3-mosstep	M3ms	2L + s	171.4¢ to 218.2¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	218.2¢ to 228.6¢
	Major 4-mosstep	M4ms	3L + s	228.6¢ to 327.3¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	218.2¢ to 285.7¢
	Major 5-mosstep	M5ms	3L + 2s	285.7¢ to 327.3¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	327.3¢ to 342.9¢
	Major 6-mosstep	M6ms	4L + 2s	342.9¢ to 436.4¢
7-mosstep	Minor 7-mosstep	m7ms	3L + 4s	327.3¢ to 400.0¢
	Major 7-mosstep	M7ms	4L + 3s	400.0¢ to 436.4¢
8-mosstep	Minor 8-mosstep	m8ms	4L + 4s	436.4¢ to 457.1¢
	Major 8-mosstep	M8ms	5L + 3s	457.1¢ to 545.5¢
9-mosstep	Minor 9-mosstep	m9ms	4L + 5s	436.4¢ to 514.3¢
	Major 9-mosstep	M9ms	5L + 4s	514.3¢ to 545.5¢
10-mosstep	Minor 10-mosstep	m10ms	5L + 5s	545.5¢ to 571.4¢
	Major 10-mosstep	M10ms	6L + 4s	571.4¢ to 654.5¢
11-mosstep	Minor 11-mosstep	m11ms	5L + 6s	545.5¢ to 628.6¢
	Major 11-mosstep	M11ms	6L + 5s	628.6¢ to 654.5¢
12-mosstep	Minor 12-mosstep	m12ms	6L + 6s	654.5¢ to 685.7¢
	Major 12-mosstep	M12ms	7L + 5s	685.7¢ to 763.6¢
13-mosstep	Minor 13-mosstep	m13ms	6L + 7s	654.5¢ to 742.9¢
	Major 13-mosstep	M13ms	7L + 6s	742.9¢ to 763.6¢
14-mosstep	Minor 14-mosstep	m14ms	7L + 7s	763.6¢ to 800.0¢
	Major 14-mosstep	M14ms	8L + 6s	800.0¢ to 872.7¢
15-mosstep	Minor 15-mosstep	m15ms	7L + 8s	763.6¢ to 857.1¢
	Major 15-mosstep	M15ms	8L + 7s	857.1¢ to 872.7¢
16-mosstep	Minor 16-mosstep	m16ms	8L + 8s	872.7¢ to 914.3¢
	Major 16-mosstep	M16ms	9L + 7s	914.3¢ to 981.8¢
17-mosstep	Minor 17-mosstep	m17ms	8L + 9s	872.7¢ to 971.4¢
	Major 17-mosstep	M17ms	9L + 8s	971.4¢ to 981.8¢
18-mosstep	Minor 18-mosstep	m18ms	9L + 9s	981.8¢ to 1028.6¢
	Major 18-mosstep	M18ms	10L + 8s	1028.6¢ to 1090.9¢
19-mosstep	Diminished 19-mosstep	d19ms	9L + 10s	981.8¢ to 1085.7¢
	Perfect 19-mosstep	P19ms	10L + 9s	1085.7¢ to 1090.9¢
20-mosstep	Minor 20-mosstep	m20ms	10L + 10s	1090.9¢ to 1142.9¢
	Major 20-mosstep	M20ms	11L + 9s	1142.9¢ to 1200.0¢
21-mosstep	Perfect 21-mosstep	P21ms	11L + 10s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 11L 10s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
19\21						1085.714	114.286	1:1	1.000	Equalized 11L 10s
					105\116	1086.207	113.793	6:5	1.200
				86\95		1086.316	113.684	5:4	1.250
					153\169	1086.391	113.609	9:7	1.286
			67\74			1086.486	113.514	4:3	1.333	Supersoft 11L 10s
					182\201	1086.567	113.433	11:8	1.375
				115\127		1086.614	113.386	7:5	1.400
					163\180	1086.667	113.333	10:7	1.429
		48\53				1086.792	113.208	3:2	1.500	Soft 11L 10s
					173\191	1086.911	113.089	11:7	1.571
				125\138		1086.957	113.043	8:5	1.600
					202\223	1086.996	113.004	13:8	1.625
			77\85			1087.059	112.941	5:3	1.667	Semisoft 11L 10s
					183\202	1087.129	112.871	12:7	1.714
				106\117		1087.179	112.821	7:4	1.750
					135\149	1087.248	112.752	9:5	1.800
	29\32					1087.500	112.500	2:1	2.000	Basic 11L 10s Scales with tunings softer than this are proper
					126\139	1087.770	112.230	9:4	2.250
				97\107		1087.850	112.150	7:3	2.333
					165\182	1087.912	112.088	12:5	2.400
			68\75			1088.000	112.000	5:2	2.500	Semihard 11L 10s
					175\193	1088.083	111.917	13:5	2.600
				107\118		1088.136	111.864	8:3	2.667
					146\161	1088.199	111.801	11:4	2.750
		39\43				1088.372	111.628	3:1	3.000	Hard 11L 10s
					127\140	1088.571	111.429	10:3	3.333
				88\97		1088.660	111.340	7:2	3.500
					137\151	1088.742	111.258	11:3	3.667
			49\54			1088.889	111.111	4:1	4.000	Superhard 11L 10s
					108\119	1089.076	110.924	9:2	4.500
				59\65		1089.231	110.769	5:1	5.000
					69\76	1089.474	110.526	6:1	6.000
10\11						1090.909	109.091	1:0	→ ∞	Collapsed 11L 10s

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